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Finding the Third Proportional to 2,047,824 and 4,468,320

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Solution

The third proportional to 2,047,824 and 4,468,320 is: 9,749,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,824 : 4,468,320 = 4,468,320 : x
  2. Step 2: Convert to fraction form
    2,047,824/4,468,320 = 4,468,320/x
  3. Step 3: Cross multiply
    2,047,824x = 4,468,320 × 4,468,320
  4. Step 4: Simplify right side
    2,047,824x = 19,965,883,622,400
  5. Step 5: Solve for x
    x = 19,965,883,622,400/2,047,824
  6. Step 6: Final answer
    x = 9,749,804.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.